Gap junction model

template<typename targetidentifierT>
class GapJunction : public Connection<targetidentifierT>
#include <gap_junction.h>

Name: gap_junction - Synapse type for gap-junction connections.

Description:

gap_junction is a connector to create gap junctions between pairs of neurons. Gap junctions are bidirectional connections. In order to create one accurate gap-junction connection between neurons i and j two NEST connections are required: For each created connection a second connection with the exact same parameters in the opposite direction is required. NEST provides the possibility to create both connections with a single call to Connect via the make_symmetric flag: 

i j << /rule /one_to_one /make_symmetric true >> /gap_junction Connect

The value of the parameter “delay” is ignored for connections of type gap_junction.

Transmits: GapJunctionEvent

References:

1

Hahne J, Helias M, Kunkel S, Igarashi J, Bolten M, Frommer A, Diesmann, M (2015). A unified framework for spiking and gap-junction interactions in distributed neuronal network simulations. Frontiers in Neuroinformatics 9:22. DOI: https://doi.org/10.3389/fninf.2015.00022

2

Mancilla JG, Lewis,TJ, Pinto DJ, Rinzel J, Connors BW (2007). Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex. Journal of Neuroscience 27:2058-2073. DOI: https://doi.org/10.1523/JNEUROSCI.2715-06.2007

Author: Jan Hahne, Moritz Helias, Susanne Kunkel

SeeAlso: synapsedict, hh_psc_alpha_gap

class hh_psc_alpha_gap : public Archiving_Node
#include <hh_psc_alpha_gap.h>

Name: hh_psc_alpha_gap - Hodgkin-Huxley neuron model with gap-junction support.

Description:

hh_psc_alpha_gap is an implementation of a spiking neuron using the Hodgkin-Huxley formalism. In contrast to hh_psc_alpha the implementation additionally supports gap junctions.

  1. Post-synaptic currents Incoming spike events induce a post-synaptic change of current modelled by an alpha function. The alpha function is normalised such that an event of weight 1.0 results in a peak current of 1 pA.

  2. Spike Detection Spike detection is done by a combined threshold-and-local-maximum search: if there is a local maximum above a certain threshold of the membrane potential, it is considered a spike.

  3. Gap Junctions Gap Junctions are implemented by a gap current of the form \( g_ij( V_i - V_j) \).

Parameters:

The following parameters can be set in the status dictionary.

tau_ex

ms

Rise time of the excitatory synaptic alpha function

tau_in

ms

Rise time of the inhibitory synaptic alpha function

g_K

nS

Potassium peak conductance

V_m

mV

Membrane potential

E_L

mV

Leak reversal potential

g_L

nS

Leak conductance

C_m

pF

Capacity of the membrane

tau_syn_ex

ms

Rise time of the excitatory synaptic alpha function

tau_syn_in

ms

Rise time of the inhibitory synaptic alpha function

E_Na

mV

Sodium reversal potential

g_Na

nS

Sodium peak conductance

E_K

mV

Potassium reversal potential

g_Kv1

nS

Potassium peak conductance

g_Kv3

nS

Potassium peak conductance

Act_m

real

Activation variable m

Act_h

real

Activation variable h

Inact_n

real

Inactivation variable n

I_e

pA

External input current

References:

1

Gerstner W, Kistler W. Spiking neuron models: Single neurons, populations, plasticity. Cambridge University Press

2

Mancilla JG, Lewis TG, Pinto DJ, Rinzel J, Connors BW (2007). Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex, Journal of Neurosciece, 27:2058-2073 DOI: https://doi.org/10.1523/JNEUROSCI.2715-06.2007 (parameters taken from here)

3

Hodgkin AL and Huxley A F (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of Physiology 117. DOI: https://doi.org/10.1113/jphysiol.1952.sp004764

4

Hahne J, Helias M, Kunkel S, Igarashi J, Bolten M, Frommer A, Diesmann M (2015). A unified framework for spiking and gap-junction interactions in distributed neuronal netowrk simulations. Frontiers in Neuroinformatics, 9:22. DOI: https://doi.org/10.3389/fninf.2015.00022

Sends: SpikeEvent, GapJunctionEvent

Receives: SpikeEvent, GapJunctionEvent, CurrentEvent, DataLoggingRequest

Author: Jan Hahne, Moritz Helias, Susanne Kunkel

SeeAlso: hh_psc_alpha, hh_cond_exp_traub, gap_junction